Exam 3: Applications of Algebra

Write the indicated expression. -A slice of pie has 200 calories and a scoop of ice cream has 200 calories. If John has x pieces of pie with 3 scoops of ice cream each, write an expression that represents the number of calories he will consume.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A chemist needs 90 milliliters of a 54% solution but has only 48% and 66% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -You inherit $70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested At each rate if the total interest earned for the year is to be $4000?

Solve the problem. -The perimeter of a rectangular room is 174 feet. Find the length and width of the room if the length is 9 feet longer than twice the width.

Determine what x =. -Kathryn is 5 centimeters shorter than Amir.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Jeff starts driving at 55 miles per hour from the same point that Lauren starts driving at 40 miles per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long will they be able to talk on their Cell phones that have a 290-mile range?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -At the beginning of the year, the odometer on an SUV read 37,532 miles. At the end of the year, it read 52,412 miles. If the car averaged 24 miles per gallon, how many gallons of gasoline did it use during the year?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $14 per pound. The manager wishes to mix 80 pounds of the $14 coffee to get a mixture that will sell for $8 per Pound. How many pounds of the $5 coffee should be used?

Determine what x =. -Kristian received 575 more than twice times the number of miles than Louis did on their plane trips to California.

Write the indicated expression. -Kevin and Amir share in the profits of a pet supplies store. If the total profit is $80,000 and p is the amount of profit Keven receives, write an expression for the amount Amir receives.

Write the indicated expression. -Keerti found that he had y dimes in his pocket. Write an expression that represents this quantity of money in cents.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $18.00 each month. With the pass, each ticket costs only $0.75. Determine the number of times in a Month the train must be used so that the total monthly cost without the pass is the same as the total monthly Cost with the pass.

Solve the problem. -In an isosceles triangle, one angle is 33° greater than the other two angles. Find the measure of all three angles.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Megan is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $190 for materials and equipment rental plus $55 per hour for labor. Company B gave and Estimate of $260 for materials and equipment rental plus $45 per hour for labor. Determine how many hours of Labor will be required for the two companies to cost the same.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A retired couple has $210,000 to invest to obtain annual income. They want some of it invested in safe certificates of deposit yielding 6%. The rest they want to invest in AA bonds yielding 12% per year. How much Should they invest in each to realize exactly $21,600 per year?

Select a variable to represent one quantity and state what that variable represents. Express the second quantity in terms of the variable selected. -Last year, Rebecca received a grant of g dollars for school. This year she received $5000 plus seven-eighths of last year's amount.

Select a variable to represent one quantity and state what that variable represents. Express the second quantity in terms of the variable selected. -The average time it takes to get through a check-out line at a large wholesale club is 12 minutes more than 4 times the time it takes to get through a check-out line at a small grocery store, s.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A car rental agency charges $200 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $425?

Solve the problem. -

Express the statement as an algebraic expression. -Five times the difference of a number and 20